%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT043+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:18 PM UTC 2026
% Result : Theorem 1.35s 1.75s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 213 ( 51 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 233 ( 72 ~; 66 |; 61 &)
% ( 5 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 2 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_2,conjecture,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& greater(internal_friction(X1,X5),internal_friction(X1,X4))
& external_ties(X1,X4) = external_ties(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(assumption_6,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
=> greater(position(X1,X5),position(X1,X4)) )
& ( external_ties(X1,X5) = external_ties(X1,X4)
=> position(X1,X5) = position(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(assumption_5,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(definition_greater_or_equal,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(assumption_4,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(c_0_7,plain,
! [X1,X5,X4] :
( epred2_3(X4,X5,X1)
<=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
introduced(definition) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& greater(internal_friction(X1,X5),internal_friction(X1,X4))
& external_ties(X1,X4) = external_ties(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[lemma_2])]) ).
fof(c_0_9,plain,
! [X1,X5,X4] :
( epred2_3(X4,X5,X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X50,X51,X52] :
( ( ~ greater(external_ties(X50,X52),external_ties(X50,X51))
| greater(position(X50,X52),position(X50,X51))
| ~ organization(X50) )
& ( external_ties(X50,X52) != external_ties(X50,X51)
| position(X50,X52) = position(X50,X51)
| ~ organization(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).
fof(c_0_11,negated_conjecture,
( organization(esk1_0)
& ~ has_immunity(esk1_0,esk2_0)
& ~ has_immunity(esk1_0,esk3_0)
& stock_of_knowledge(esk1_0,esk3_0) = stock_of_knowledge(esk1_0,esk2_0)
& greater(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
& external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0)
& ~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X59,X60,X61] :
( ( ~ greater(stock_of_knowledge(X59,X60),stock_of_knowledge(X59,X61))
| ~ smaller_or_equal(internal_friction(X59,X60),internal_friction(X59,X61))
| greater(capability(X59,X60),capability(X59,X61))
| ~ epred2_3(X61,X60,X59) )
& ( ~ smaller_or_equal(stock_of_knowledge(X59,X60),stock_of_knowledge(X59,X61))
| ~ greater(internal_friction(X59,X60),internal_friction(X59,X61))
| smaller(capability(X59,X60),capability(X59,X61))
| ~ epred2_3(X61,X60,X59) )
& ( stock_of_knowledge(X59,X60) != stock_of_knowledge(X59,X61)
| internal_friction(X59,X60) != internal_friction(X59,X61)
| capability(X59,X60) = capability(X59,X61)
| ~ epred2_3(X61,X60,X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X31,X32] :
( ( ~ smaller_or_equal(X31,X32)
| smaller(X31,X32)
| X31 = X32 )
& ( ~ smaller(X31,X32)
| smaller_or_equal(X31,X32) )
& ( X31 != X32
| smaller_or_equal(X31,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(c_0_14,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
<=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
introduced(definition) ).
cnf(c_0_15,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ epred2_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
stock_of_knowledge(esk1_0,esk3_0) = stock_of_knowledge(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( position(esk1_0,X1) = position(esk1_0,X2)
| external_ties(esk1_0,X1) != external_ties(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_23,plain,
! [X35,X36] :
( ( ~ smaller(X35,X36)
| greater(X36,X35) )
& ( ~ greater(X36,X35)
| smaller(X35,X36) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_24,negated_conjecture,
( smaller(capability(esk1_0,X1),capability(esk1_0,esk2_0))
| ~ epred2_3(esk2_0,X1,esk1_0)
| ~ greater(internal_friction(esk1_0,X1),internal_friction(esk1_0,esk2_0))
| ~ smaller_or_equal(stock_of_knowledge(esk1_0,X1),stock_of_knowledge(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
greater(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_27,axiom,
! [X1,X4,X5] :
( organization(X1)
=> epred2_3(X4,X5,X1) ),
inference(apply_def,[status(thm)],[assumption_5,c_0_7]) ).
fof(c_0_28,plain,
! [X56,X57,X58] :
( ( ~ greater(capability(X56,X57),capability(X56,X58))
| ~ greater_or_equal(position(X56,X57),position(X56,X58))
| smaller(hazard_of_mortality(X56,X57),hazard_of_mortality(X56,X58))
| ~ epred1_3(X58,X57,X56) )
& ( ~ greater_or_equal(capability(X56,X57),capability(X56,X58))
| ~ greater(position(X56,X57),position(X56,X58))
| smaller(hazard_of_mortality(X56,X57),hazard_of_mortality(X56,X58))
| ~ epred1_3(X58,X57,X56) )
& ( capability(X56,X57) != capability(X56,X58)
| position(X56,X57) != position(X56,X58)
| hazard_of_mortality(X56,X57) = hazard_of_mortality(X56,X58)
| ~ epred1_3(X58,X57,X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_29,negated_conjecture,
( position(esk1_0,X1) = position(esk1_0,esk2_0)
| external_ties(esk1_0,X1) != external_ties(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_30,plain,
! [X33,X34] :
( ( ~ greater_or_equal(X33,X34)
| greater(X33,X34)
| X33 = X34 )
& ( ~ greater(X33,X34)
| greater_or_equal(X33,X34) )
& ( X33 != X34
| greater_or_equal(X33,X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).
cnf(c_0_31,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0))
| ~ epred2_3(esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
fof(c_0_33,plain,
! [X47,X48,X49] :
( ~ organization(X47)
| epred2_3(X48,X49,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
cnf(c_0_34,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X2),position(X1,X3))
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
position(esk1_0,esk2_0) = position(esk1_0,esk3_0),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( greater(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0))
| ~ epred2_3(esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( epred2_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,plain,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> epred1_3(X4,X5,X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_4]),c_0_14]) ).
cnf(c_0_40,plain,
( smaller(hazard_of_mortality(esk1_0,esk2_0),hazard_of_mortality(esk1_0,X1))
| ~ epred1_3(X1,esk2_0,esk1_0)
| ~ greater(capability(esk1_0,esk2_0),capability(esk1_0,X1))
| ~ greater_or_equal(position(esk1_0,esk3_0),position(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
greater(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_16])]) ).
fof(c_0_43,plain,
! [X44,X45,X46] :
( ~ organization(X44)
| has_immunity(X44,X45)
| has_immunity(X44,X46)
| epred1_3(X45,X46,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_44,plain,
( smaller(hazard_of_mortality(esk1_0,esk2_0),hazard_of_mortality(esk1_0,esk3_0))
| ~ epred1_3(esk3_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_45,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,plain,
~ epred1_3(esk3_0,esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_44]),c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( epred1_3(X1,X2,esk1_0)
| has_immunity(esk1_0,X1)
| has_immunity(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_16]) ).
cnf(c_0_49,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
~ has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT043+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:30:35 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.35/1.75 % Version : CSE_E---1.7
% 1.35/1.75 % Problem : theBenchmark.p
% 1.35/1.75 % SZS status Theorem for theBenchmark.p
% 1.35/1.75 % SZS output start CNFRefutation
% See solution above
% 1.35/1.75 % Total time : 1.366s
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